663940305600 has 672 divisors, whose sum is σ = 2597470584576. Its totient is φ = 146346393600.

The previous prime is 663940305577. The next prime is 663940305619. The reversal of 663940305600 is 6503049366.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45981582 + ... + 45996018.

It is an arithmetic number, because the mean of its divisors is an integer number (3865283608).

Almost surely, 2^663940305600 is an apocalyptic number.

663940305600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663940305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298735292288).

663940305600 is an abundant number, since it is smaller than the sum of its proper divisors (1933530278976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

663940305600 is a wasteful number, since it uses less digits than its factorization.

663940305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14553 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 663940305600 in words is "six hundred sixty-three billion, nine hundred forty million, three hundred five thousand, six hundred".